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If 30 men working 18 hours a day can reap a field in 32 days, how many days will 36 men take to reap the same field working 16 hours a day.
  • a)
    24 days                    
  • b)
    28 days
  • c)
    30 days                    
  • d)
    32 days
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
If 30 men working 18 hours a day can reap a field in 32 days, how many...
Explanation:
Instead of working with a number of men and the number of hours in a day, consider the number of 'man-hours' used.
5men working for 
6 hours a day means:
5X6=30
man-hours a day.
The entire task of reaping the field takes:
30X20=600
man-hours
The question involves inverse proportion because if there are more men working and they work for more hours each day, then the task will be completed in fewer days.
15 men working for 8 hours a day means:
15X8=120
man-hours per day
To complete the task which requires 
600 man-hours:
600X120=5 days
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Most Upvoted Answer
If 30 men working 18 hours a day can reap a field in 32 days, how many...
M1 × T1 × D1 = M2 × T2 × D2


30×18×32 = 36×26×D2

D2 = 17280/576

D2 = 30days

therefore option 'C' is correct
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Community Answer
If 30 men working 18 hours a day can reap a field in 32 days, how many...
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If 30 men working 18 hours a day can reap a field in 32 days, how many days will 36 men take to reap the same field working 16 hours a day.a)24 days b)28 daysc)30 days d)32 dayse)None of theseCorrect answer is option 'C'. Can you explain this answer?
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